Simple Linear Regression Model Analysis

Simple Linear Regression Model. See attached file for full problem description.

1. For the simple linear regression model

a) Does this model refer to the population or only to a sample from the population?
b) Explain what represents.
c) Does vary?
d) Which term(s) in the statistical model give the random variation in Y?
e) Is a parameter or a statistic?
f) is the ____________ of the line . This means that it represents __ for an increase of 1 unit in X.

2. Once you have obtained a sample of n points (Xi, Yi) from the population of interest, how can you check whether it would be reasonable to assume a SLR model?

3. a) What does represent?
b) Are and parameters or statistics? Why?
c) Does vary from sample to sample? Why or why not?

4. What is the sampling distribution of provided all the regression assumptions hold?

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